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Explicit multi-symplectic methods for Hamiltonian wave equations
Hong, Jialin; Jiang, Shanshan; Li, Chun; Liu, Hongyu
2007-08-01
Source PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN1815-2406
Volume2Issue:4Pages:662-683
AbstractIn this paper, based on the multi-symplecticity of concatenating symplectic Runge-Kutta-Nystrom (SRKN) methods and symplectic Runge-Kutta-type methods for numerically solving Hamiltonian PDEs, explicit multi-symplectic schemes are constructed and investigated, where the nonlinear wave equation is taken as a model problem. Numerical comparisons are made to illustrate the effectiveness of our newly derived explicit multi-symplectic integrators.
KeywordHamiltonian wave equations multi-symplectic integration symplectic Runge-Kutta methods symplectic Runge-Kutta-Nystrom methods
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000248345000004
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/4608
Collection计算数学与科学工程计算研究所
Corresponding AuthorHong, Jialin
Affiliation1.Chinese Acad Sci, Acad Mathemat & Syst Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
2.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China
3.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
Hong, Jialin,Jiang, Shanshan,Li, Chun,et al. Explicit multi-symplectic methods for Hamiltonian wave equations[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2007,2(4):662-683.
APA Hong, Jialin,Jiang, Shanshan,Li, Chun,&Liu, Hongyu.(2007).Explicit multi-symplectic methods for Hamiltonian wave equations.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2(4),662-683.
MLA Hong, Jialin,et al."Explicit multi-symplectic methods for Hamiltonian wave equations".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 2.4(2007):662-683.
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